Ramsey properties of uniform G-spaces

Meeting Details

Abstract: We continue a series of talks on structural Ramsey theory. In this session, we will focus on a Ramsey-like property of uniform G-spaces called finite oscillation stability. We will prove several characterizations of this notion and then sketch a proof (due to Gromov and Milman) that $U(l^2)$ acting on $\mathbb{S}^\infty$ has this property.